Find the intersection point between the lines of equations:

x+y-2=0 and 3x-y+4=0 ​

Answer:

S = 35 + 20w

Step-by-step explanation:

Amount Samantha has in her account = $35

Additional savings per week = $20

Let

S =Totai savings in Samantha's account at the end of the week

w = number of weeks

The equation:

Totai savings in Samantha's account at the end of the week = Amount Samantha has in her account + (Additional savings per week * number of weeks)

S = 35 + 20w

Answer:

s=35+20w

Step-by-step explanation:

Answer:

28 4/9

Step-by-step explanation:

5 1/3 times 5 1/3

Answer:

33

Step-by-step explanation:

Pamela-x

Jiri-x+14

x+x+14=52

2x=52-14

2x=38

x=19-Pamela

19+14=33-Jiri

check: 19+33=52

Answer: Jiri is 33 years old, and Pam is 19.

Step-by-step explanation:

Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)

You can model the situation by two equations:

y=x-14

x+y=52

Substitute y into second equation

x+x-14=52

2x=66

x=33

Jiri is 33

and back to the first equation

y=33-14=19, Pamela's age.

Answer:

C

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

Answer:

(3)(x + 4)(x-2)

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

(3)(x + 4)(x-2)

Answer:

3(x - 2)(x + 4).

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

= 3(x - 2)(x + 4).

Answer:

Step-by-step explanation:

Let the cost is x, we have then:

Cost is 45000, then SP is:

Step-by-step explanation:

[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]

Answer:

x is 10.8 cm

Step-by-step explanation:

from Lami's theorem:

[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]

Answer:

The angle θ = 312°.

Step-by-step explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°

Answer: (2,7) (-2,-9) (3,11) (-3,-13)

Step-by-step explanation:

(2)(2)+(2)(2)-1 = 7

(2) (-2)+(2)(-2)-1 = -9

(3)(2)+(2)(3)-1 = 11

(-3)(2)+(2)(-3)-1 = -13

Answer:

Step-by-step explanation:

Answer:

không

Step-by-step explanation:

Answer:

I have no idea you can use the app paper.

Step-by-step explanation:

Hope it helps.

Answer:

A -1,7

B 1,5

C -2,4

Step-by-step explanation:

Answer:

y=3/x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4s multiples:

4,8,12,16,20,24

6s multiples:

6,12,18,24,30,36

lowest number that is a common multiple between both 4 and 6:

12

Answer: 2

Step-by-step explanation:

Answer:

Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5

Answerb

Step-by-step explanation:

yeal

Image of figure ABCD is missing and so i have attached it.

Answer:

D_new = (-1, - 12)

Step-by-step explanation:

From the figure attached, the current coordinates of D are; (-5, -2)

Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)

Thus, this means we add 6 to the x value and subtract 10 from the y-value.

Thus, new coordinate of D is;

> (-5 + 6, -2 - 10)

> (-1, - 12)

Answer:

1, -12

Step-by-step explanation:

D = -5, -2

|

-5 + 6 = 1

|

-10 and -2 is -12

1, -12

did it on edge, got it right.

Answer:

691 251/256

Step-by-step explanation:

So basically exponents is how much time you time the same number

First on the top is 2 exponent 4. that is 2x2x2x2=16

Second is 3 exponent 3. 3x3x3=27

Third is 9 exponent 7. 9x9x9x9x9x9x9=4782969

Fourth is 4 exponent 6. 4x4x4x4x4x4=4096.

All together is 16/27x4782969/4096=691 251/256

Answer:

1) The total displacement vector is ((16 + √2)/2, -(6+11·√2)/2)

2) The number of miles they'd have to walk is approximately 13.856 miles

Step-by-step explanation:

1) The distance, direction, and location of the path of the walk the person takes,  are listed as follows;

Start location, (0, 0)

6 miles East walk to location, (6, 0)

6 miles Southeast to location, (6 + 3·√2, -3·√2)

3 miles South to location, (6 + 3·√2, -3·√2 - 3)

5 miles Southwest to location, (6 + 3·√2 - 2.5·√2, -3·√2 - 3 - 2.5·√2)

2 miles East to location, (6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2)

(6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2) = ((16 + √2)/2, -(6+11·√2)/2)

Therefore the destination coordinates is ((16 + √2)/2, -(6+11·√2)/2)

The total displacement vector, [tex]\underset{d}{\rightarrow}[/tex] = ((16 + √2)/2, -(6+11·√2)/2)

d =  (16 + √2)/2)·i - (6+11·√2)/2)·j

2) If the person walked straight home, the number of miles they'd have to walk, [tex]\left | \underset{d}{\rightarrow} \right |[/tex], is given as follows;

[tex]\left | \underset{d}{\rightarrow} \right | = \sqrt{\left(\dfrac{16 +\sqrt{2} }{2} \right)^2 + \left(-\dfrac{6 + 11 \cdot \sqrt{2} }{2} \right)^2 } = \sqrt{134 + 41 \cdot \sqrt{2} }[/tex]

Therefore;

If the person walked straight home, the number of miles they'd have to walk [tex]\left | \underset{d}{\rightarrow} \right | \approx 13.856 \ miles[/tex]

Answer:

false

Step-by-step explanation:

it would be in the first quadrant

Answer:

False

Step-by-step explanation:

The real part is positive and the imaginary part is positive which put is in the first quadrant

Answer:

27

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

x^2+15^2=17^2, x=sqrt(64)=8

9514 1404 393

Answer:

  7

Step-by-step explanation:

If there is a common ratio, it can be found by finding the ratio of any two adjacent terms:

  42/6 = 7

The common ratio is 7.

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

-----------------------------------------

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75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

[tex]75x = 375[/tex]

[tex]x = \frac{375}{75}[/tex]

[tex]x = 5[/tex]

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at https://brainly.com/question/23352001

Answer:

Step-by-step explanation:

x² + 10x + 24 = 0

Discriminant = 10² - 4×1×24 = 4

The discriminant is positive, so there are two distinct, real solutions.

Answer:

The answer is C) 4; Two real solutions.

Step-by-step explanation:

x2 + 10x + 24 = 0 in the function  

x2 resembles a

10x resembles b

24 resembles c

so, let's convert.

b2-4ac

(10) ^2 - 4(1)(24)

100 - 96

= 4

The answer is B

Eplanation:

V = pi * r² * (h/3)

Then from here you just make h the subject of the formula:

h = (V * 3)/(pi * r²)

h = (393*3)/[3.14* (10/2)²]

h = 15.01910828 ft

which is rounded to 15 ft...B

:)